Answer to Question #341301 in Molecular Physics | Thermodynamics for rox

Question

At 0.0°C and 1.00 atm, 1.00 mol of a gas occupies a volume of 0.0224 m³.

 

a) What is the number density?

b) Estimate the average distance between the molecules.

c) If the gas is nitrogen (N₂), the principal component of air, what is the total mass? Molar mass of Nitrogen is 14.00674 g/mol.

d) If the gas is nitrogen (N₂), the principal component of air, what is the mass density? Molar mass of Nitrogen is 14.00674 g/mol.

Answer 1

$pV=\frac mM RT,\implies$

$m=\frac{MpV}{RT}=14.01~g.$